MathWorld-- A Wolfram Web Resource. Weisstein, Eric W. "ASS Theorem." Dilation.
It is not possible for a triangle to have more than one vertex with internal angle greater than or equal to 90°, or it would no longer be a triangle. When none of the sides of a triangle have equal lengths, it is referred to as scalene, as depicted below. Example. Area = a*b/2, where a is height and b is base of the right triangle. As can be seen from the triangles above, the length and internal angles of a triangle are directly related, so it makes sense that an equilateral triangle has three equal internal angles, and three equal length sides. Linear Transformation (Geometric transformation) calculator in 2D, including, rotation, reflection, shearing, projection, scaling (dilation). Learn the basic properties of congruent triangles and how to identify them with this free math lesson. Enter any two values and press calculate to get the other values. Glory to God in the highest; and on earth, peace to people on whom His favor rests! These topics are covered in my Videos on Geometry Transformations. Rotating a Triangle Around the Origin . Congruent triangles have the same size and shape. A vertex is a point where two or more curves, lines, or edges meet; in the case of a triangle, the three vertices are joined by three line segments called edges. A = angle A Given the lengths of all three sides of any triangle, each angle can be calculated using the following equation.
In a triangle, the inradius can be determined by constructing two angle bisectors to determine the incenter of the triangle. However, it does require that the lengths of the three sides are known.